%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN154-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:16:54 AM UTC 2026
% Result : Unsatisfiable 134.08s 80.81s
% Output : Refutation 134.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 180 ( 31 ~; 28 |; 0 &; 121 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 39 ( 0 ^; 39 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(n3_decl,type,
n3: $i > $o ).
thf(e_decl,type,
e: $i ).
thf(a_decl,type,
a: $i ).
thf(m1_decl,type,
m1: $i > $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $i > $o ).
thf(k0_decl,type,
k0: $i > $o ).
thf(l0_decl,type,
l0: $i > $o ).
thf(317,axiom,
e @ k0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(972,plain,
e @ k0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(173,axiom,
a @ l0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(699,plain,
a @ l0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(32,axiom,
! [B: $i,A: $i] :
( ~ ( B @ k0 )
| ~ ( A @ l0 )
| ( A @ ( B @ ( A @ m1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_021) ).
thf(430,plain,
! [B: $i,A: $i] :
( ~ ( B @ k0 )
| ~ ( A @ l0 )
| ( A @ ( B @ ( A @ m1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(431,plain,
! [B: $i,A: $i] :
( ~ ( B @ k0 )
| ~ ( A @ l0 )
| ( A @ ( B @ ( A @ m1 ) ) ) ),
inference(cnf,[status(esa)],[430]) ).
thf(4407,plain,
! [B: $i,A: $i] :
( ( ( a @ l0 )
!= ( A @ l0 ) )
| ~ ( B @ k0 )
| ~ $true
| ( A @ ( B @ ( A @ m1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[699,431]) ).
thf(4408,plain,
! [B: $i,A: $i] :
( ( ( a @ l0 )
!= ( A @ l0 ) )
| ~ ( B @ k0 )
| ( A @ ( B @ ( A @ m1 ) ) ) ),
inference(simp,[status(thm)],[4407]) ).
thf(4409,plain,
! [A: $i] :
( ~ ( A @ k0 )
| ( a @ ( A @ ( a @ m1 ) ) ) ),
inference(pattern_uni,[status(thm)],[4408:[bind(A,$thf( a ))]]) ).
thf(4420,plain,
! [A: $i] :
( ~ ( A @ k0 )
| ( a @ ( A @ ( a @ m1 ) ) ) ),
inference(simp,[status(thm)],[4409]) ).
thf(5170,plain,
! [A: $i] :
( ( ( e @ k0 )
!= ( A @ k0 ) )
| ~ $true
| ( a @ ( A @ ( a @ m1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[972,4420]) ).
thf(5171,plain,
! [A: $i] :
( ( ( e @ k0 )
!= ( A @ k0 ) )
| ( a @ ( A @ ( a @ m1 ) ) ) ),
inference(simp,[status(thm)],[5170]) ).
thf(5172,plain,
a @ ( e @ ( a @ m1 ) ),
inference(pattern_uni,[status(thm)],[5171:[bind(A,$thf( e ))]]) ).
thf(181,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( B @ m1 ) ) )
| ( A @ ( B @ ( A @ p2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_176) ).
thf(714,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( B @ m1 ) ) )
| ( A @ ( B @ ( A @ p2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(715,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( B @ m1 ) ) )
| ( A @ ( B @ ( A @ p2 ) ) ) ),
inference(cnf,[status(esa)],[714]) ).
thf(23366,plain,
! [B: $i,A: $i] :
( ( ( a @ ( e @ ( a @ m1 ) ) )
!= ( B @ ( A @ ( B @ m1 ) ) ) )
| ~ $true
| ( A @ ( B @ ( A @ p2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[5172,715]) ).
thf(23367,plain,
! [B: $i,A: $i] :
( ( ( a @ ( e @ ( a @ m1 ) ) )
!= ( B @ ( A @ ( B @ m1 ) ) ) )
| ( A @ ( B @ ( A @ p2 ) ) ) ),
inference(simp,[status(thm)],[23366]) ).
thf(23368,plain,
e @ ( a @ ( e @ p2 ) ),
inference(pattern_uni,[status(thm)],[23367:[bind(A,$thf( e )),bind(B,$thf( a ))]]) ).
thf(322,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p2 ) ) )
| ( A @ n3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
thf(980,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p2 ) ) )
| ( A @ n3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(981,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p2 ) ) )
| ( A @ n3 ) ),
inference(cnf,[status(esa)],[980]) ).
thf(47153,plain,
! [C: $i,B: $i,A: $i] :
( ( ( e @ ( a @ ( e @ p2 ) ) )
!= ( A @ ( C @ ( B @ p2 ) ) ) )
| ~ $true
| ( A @ n3 ) ),
inference(paramod_ordered,[status(thm)],[23368,981]) ).
thf(47154,plain,
! [C: $i,B: $i,A: $i] :
( ( ( e @ ( a @ ( e @ p2 ) ) )
!= ( A @ ( C @ ( B @ p2 ) ) ) )
| ( A @ n3 ) ),
inference(simp,[status(thm)],[47153]) ).
thf(47155,plain,
e @ n3,
inference(pattern_uni,[status(thm)],[47154:[bind(A,$thf( e )),bind(B,$thf( e )),bind(C,$thf( a ))]]) ).
thf(1,negated_conjecture,
~ ( e @ n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( e @ n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( e @ n3 ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(47330,plain,
$false,
inference(rewrite,[status(thm)],[47155,371]) ).
thf(47331,plain,
$false,
inference(simp,[status(thm)],[47330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN154-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.22/20.56 % CPULimit : 300
% 0.22/20.56 % WCLimit : 300
% 0.22/20.56 % DateTime : Sat Sep 26 17:15:57 UTC 2026
% 0.22/20.57 % CPUTime :
% 0.22/20.57 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.44/21.05 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.58/21.50 % [INFO] Parsing done (444ms).
% 2.58/21.52 % [INFO] Running in sequential loop mode.
% 3.94/22.05 % [INFO] eprover registered as external prover.
% 3.94/22.06 % [INFO] Scanning for conjecture ...
% 4.29/22.25 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 4.90/22.47 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 5.58/22.66 % [INFO] Problem is propositional (TPTP CNF).
% 5.58/22.67 % [INFO] Type checking passed.
% 5.58/22.68 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 134.08/80.80 % [INFO] Killing All external provers ...
% 134.08/80.81 % Time passed: 60098ms (effective reasoning time: 59276ms)
% 134.08/80.81 % Axioms used in derivation (5): rule_176, axiom_20, rule_240, axiom_28, rule_021
% 134.08/80.81 % No. of inferences in proof: 31
% 134.08/80.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 60098 ms resp. 59276 ms w/o parsing
% 134.08/80.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 134.08/80.84 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------